- vertex
- intercepts
- domain and range
- axis of symmetry.
[CN, PS, T, V]
| (a) |
Identify situations and objects relevant to self, family, or community which could be described using a quadratic function. |
| (b) |
Develop, generalize, explain, and apply strategies for determining the intercepts of the graph of a quadratic function, including factoring, graphing (with or without the use of technology), and use of the quadratic formula. |
| (c) |
Conjecture and verify a relationship among the roots of an equation, the zeros of the corresponding function, and the x-intercepts of the graph of the function. |
| (d) |
Explain, using examples, why the graph of a quadratic function may have zero, one, or two x-intercepts. |
| (e) |
Write a quadratic equation in factored form given the zeros of a corresponding quadratic function or the x-intercepts of a corresponding quadratic function. |
| (f) |
Develop, generalize, explain, and apply strategies (with or without the use of technology) to determine the coordinates of the vertex of the graph of a quadratic function. |
| (g) |
Develop, generalize, explain, and apply a strategy for determining the equation of the axis of symmetry of the graph of a quadratic function when given the x-intercepts of the graph. |
| (h) |
Develop, generalize, explain, and apply strategies for determining the coordinates of the vertex of the graph of a quadratic function and for determining if the vertex is a maximum or a minimum. |
| (i) |
Generalize about and explain the effects on the graph of a quadratic function when the values for a, p, and q are changed. |
| (j) |
Develop, generalize, explain, and apply strategies for determining the domain and range of a quadratic function. |
| (k) |
Explain what the domain and range of a quadratic function tell about the situation that the quadratic function models. |
| (l) |
Develop, generalize, explain, and apply strategies for sketching the graph of a quadratic function. |
| (m) |
Solve situational questions involving the characteristics and graphs of quadratic functions. |
| (n) |
Critique the statement “Any function that can be written in the form $y = a(x - p)^2 + q$ will have a parabolic graph.” |
